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Simplifying 0 = h2 + -8h + 12 Reorder the terms: 0 = 12 + -8h + h2 Solving 0 = 12 + -8h + h2 Solving for variable 'h'. Combine like terms: 0 + -12 = -12 -12 + 8h + -1h2 = 12 + -8h + h2 + -12 + 8h + -1h2 Reorder the terms: -12 + 8h + -1h2 = 12 + -12 + -8h + 8h + h2 + -1h2 Combine like terms: 12 + -12 = 0 -12 + 8h + -1h2 = 0 + -8h + 8h + h2 + -1h2 -12 + 8h + -1h2 = -8h + 8h + h2 + -1h2 Combine like terms: -8h + 8h = 0 -12 + 8h + -1h2 = 0 + h2 + -1h2 -12 + 8h + -1h2 = h2 + -1h2 Combine like terms: h2 + -1h2 = 0 -12 + 8h + -1h2 = 0 Factor a trinomial. (-6 + h)(2 + -1h) = 0Subproblem 1
Set the factor '(-6 + h)' equal to zero and attempt to solve: Simplifying -6 + h = 0 Solving -6 + h = 0 Move all terms containing h to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + h = 0 + 6 Combine like terms: -6 + 6 = 0 0 + h = 0 + 6 h = 0 + 6 Combine like terms: 0 + 6 = 6 h = 6 Simplifying h = 6Subproblem 2
Set the factor '(2 + -1h)' equal to zero and attempt to solve: Simplifying 2 + -1h = 0 Solving 2 + -1h = 0 Move all terms containing h to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1h = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1h = 0 + -2 -1h = 0 + -2 Combine like terms: 0 + -2 = -2 -1h = -2 Divide each side by '-1'. h = 2 Simplifying h = 2Solution
h = {6, 2}
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